Question

I'm having alot of problems with the problem. I don't want the answer but I need to know how to figure it out to get the answer. To put it in another way I don't know where to start.

A farmer takes to market in her cart, but she hit a pothole, which knock over all the containers of eggs. though herself is unhurt, every egg is broken. She goed to her insurance agent, who askes her how many eggs she had. She says she doesn't know, but she remember somthings for various way she tried packing the eggs. She know that when she put the eggs in groups of 2,3,4,5 and 6 she had one left over. when she put the eggs in groups of 7 there were no eggs left over.

Your task is to answer the insurance agent question. What can the farmer figure out from the information about how many eggs that she had? Is there more than one possibility?

Answer 1

You need to find a multiple of 7 that all of the numbers can go into with only 1 left over. I kept multiplying 7 by other numbers until I found the answer. Hint: it's a three-digit number that ends in 1.